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Security Analysis and Prediction of Multi-Relay Networks Over Fisher-Snedecor F Fading Channels

Yanyang Zeng, Dawei Zhang, Kai Tang, Jiangfeng Sun

Published Jan 1, 2024• 0 citations
Publisher
DOI
10.2139/ssrn.4696979

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Security Performance Analysis of Physical Layer over Fisher-Snedecor F\mathcal{F}F Fading Channels
In this letter, the performance analysis of physical layer security over Fisher-Snedecor F\mathcal{F}F fading channels is investigated. In particular, the average secrecy capacity (ASC), the secure outage probability (SOP), the lower bound of the SOP (SOPL^LL), and the strictly positive secure capacity (SPSC) are derived in exact closed-from expressions. The Fisher-Snedecor F\mathcal{F}F fading channel is a composite of multipath/shadowed fading that are represented by the Nakagami-mmm distribution. Moreover, it provides close results to the practical measurements than the generalised KKK (KGK_GKG​) fading channels. To validate our analysis, the numerical results are affirmed by the Monte Carlo simulations.
We investigate the physical layer security limits of Wyner's wiretap model over Fisher-Snedecor .T composite fading channels. .T fading conditions have been recently shown to provide an accurate characterization of multipath fading and shadowing effects in emerging wireless transmission scenarios such as body centric, cellular and vehicular communications. To this end, we utilize a redefined analytic expression for the Fisher-Snedecor .T distribution in order to ensure unconstrained validity and reliability when used in the analysis of various performance metrics of interest. In this context, we assume that the main channel (i.e., between the source and the legitimate destination) and the eavesdropper's channel (i.e., between the source and the illegitimate destination) undergo independent quasi-static Fisher-Snedecor .T composite fading. Novel exact analytic expressions are then derived for the corresponding average secrecy capacity (ASC), secure outage probability (SOP) and probability of strictly positive secrecy capacity (SPSC) along with their insightful asymptotic representations. In addition, analytical expressions for the ASC, SOP and SPSC over mixed fading channels such as Nakagami-m/Nakagami-m, Nakagami-m/Fisher-Snedecor .T and Fisher-Snedecor .T/Nakagami-m are derived. The new formulations are validated through comparisons with Monte-Carlo simulations and analyzed to gain useful insights into the impact of the fading parameters on the achievable accuracy and the overall system performance.